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International Journal of Robust and Nonlinear Control
Article . 2020 . Peer-reviewed
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A family of virtual contraction based controllers for tracking of flexible‐joints port‐Hamiltonian robots: Theory and experiments

A family of virtual contraction based controllers for tracking of flexible-joints port-Hamiltonian robots: theory and experiments
Authors: Rodolfo Reyes‐Báez; Arjan van der Schaft; Bayu Jayawardhana; Le Pan;

A family of virtual contraction based controllers for tracking of flexible‐joints port‐Hamiltonian robots: Theory and experiments

Abstract

SummaryIn this work, we present a constructive method to design a family of virtual contraction based controllers that solve the standard trajectory tracking problem of flexible‐joint robots in the port‐Hamiltonian framework. The proposed design method, called virtual contraction based control, combines the concepts of virtual control systems and contraction analysis. It is shown that under potential energy matching conditions, the closed‐loop virtual system is contractive and exponential convergence to a predefined trajectory is guaranteed. Moreover, the closed‐loop virtual system exhibits properties such as structure preservation, differential passivity, and the existence of (incrementally) passive maps. The method is later applied to a planar RR robot, and two nonlinear tracking control schemes in the developed controllers family are designed using different contraction analysis approaches. Experiments confirm the theoretical results for each controller.

Country
Netherlands
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Keywords

FOS: Computer and information sciences, tracking control, contraction, Automated systems (robots, etc.) in control theory, port-Hamiltonian systems, Systems and Control (eess.SY), IMPEDANCE CONTROL, FRAMEWORK, virtual control systems, Electrical Engineering and Systems Science - Systems and Control, flexible-joints robots, Computer Science - Robotics, SYSTEMS, Optimization and Control (math.OC), INTERCONNECTION, PASSIVITY-BASED CONTROL, Networked control, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, POSITION, MANIPULATORS, Mathematics - Optimization and Control, Robotics (cs.RO)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
14
Top 10%
Top 10%
Top 10%
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